Advanced Quantum Mechanics

In this course you will learn about basic concepts and methods in non-relativistic quantum mechanics, such as Dirac notation, Hermitian operators, Hilbert spaces and the position and momentum representation. You will also deepen your knowledge in the connection between quantum mechanics and linear algebra, the generalized uncertainty principle and the connection between quantum mechanics and classical physics. The course also covers descriptions of more realistic physical problems by focusing on the time-dependent Schrödinger equation and wave packets, time-dependent perturbation theory and basic scattering theory. You will also meet quantum mechanical entaglement and Bell's inequality and get an introduction to density matrices.